Stress Tensor for Large-$D$ membrane at subleading orders

Abstract

In this note, we have extended the result of \citep{radiation} to calculate the membrane stress tensor up to $\mathcal{O}\left(\frac{1}{D}\right)$ localized on the codimension-one membrane world volume propagating in asymptotically at/AdS/dS space-time. We have shown that the subleading order membrane equation follows from the conservation equation of this stress tensor.